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Finding the Fourth Proportional to 218,992, 302,208.96 and 118,390

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Solution

The fourth proportional to 218,992, 302,208.96 and 118,390 is: 163,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,992 : 302,208.96 = 118,390 : x
  2. Step 2: Convert to fraction form
    218,992/302,208.96 = 118,390/x
  3. Step 3: Cross multiply
    218,992x = 302,208.96 × 118,390
  4. Step 4: Simplify right side
    218,992x = 35,778,518,774.40
  5. Step 5: Solve for x
    x = 35,778,518,774.40/218,992
  6. Step 6: Final answer
    x = 163,378.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.